Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through (-5, -2); perpendicular to 4x + 3y = 43
A) $y = - \frac { 4 } { 3 } x + 43$
B) $y = \frac { 3 } { 4 } x + \frac { 7 } { 4 }$
C) $y = - \frac { 3 } { 4 } x + \frac { 7 } { 4 }$
D) $y = - \frac { 4 } { 3 } x - 2$

Question

Quizplus · Accepted Answer

The slope of the line perpendicular to 4x + 3y = 43 is the negative reciprocal of the original line's slope. The original line's slope is -4/3, so the perpendicular slope is 3/4. Using the point (-5, -2) and the slope 3/4, the equation is $y = \frac { 3 } { 4 } x + \frac { 7 } { 4 }$.

Write an Equation of the Line y=−43x+43y = - \frac { 4 } { 3 } x + 43y=−34​x+43

Write an Equation of the Line $y = - \frac { 4 } { 3 } x + 43$